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基于GPU的波浪数值模拟 Abstract ThispaperpresentsastudyonGPU-basedwavesimulationusingnumericalmethods.ThegoalofthisstudyistoinvestigatetheeffectivenessofusingGPUinwavesimulation,andtodemonstratehownumericalmethodscanbeintegratedwithGPUtoachievehighperformance.Thepaperfirstintroducesthebasictheoriesofwavesimulationandnumericalmethods,andthendiscussesthedesignofourGPU-basedsimulationframework.TheresultsofoursimulationshowthattheGPU-basedapproachcansignificantlyimprovetheperformanceofwavesimulationwithoutcompromisingtheaccuracyoftheresults. Introduction Wavesimulationisafundamentaltopicincomputergraphicsandoceanengineering.Itiswidelyusedinvariousapplications,suchasoceanography,virtualreality,andcomputeranimation.Thesimulationofoceanwavesisacomplexprocessthatrequiresbothnumericalmethodsandhigh-performancecomputing. PreviousresearchonwavesimulationhasmainlyfocusedonusingCPU-basedplatformstoperformnumericalsimulations.However,withtheincreasingdemandforhigh-performancecomputing,researchersareexploringthepotentialofusingGPU-basedcomputationtoachievehigh-speedandefficientwavesimulation.GPUsarecapableofperformingmassiveparallelcomputations,andhavebecomeincreasinglypopularinmanyscientificcomputingapplications. Inthispaper,weproposeaGPU-basedframeworkforwavesimulation,whichintegratesnumericalmethodswithGPUcomputingtoachievehighperformance.OurgoalistoinvestigatetheeffectivenessofusingGPUinwavesimulation,andtodemonstratehownumericalmethodscanbeintegratedwithGPUtoachievehighperformance.Wefirstintroducethebasictheoriesandconceptsofwavesimulationandnumericalmethods,andthendescribethedesignofourGPU-basedsimulationframework.Finally,weevaluatetheperformanceandaccuracyofoursimulationresultsusingvariousbenchmarktests. Background Wavesimulationisbasedonfluiddynamics,whichisthestudyofthebehavioroffluidsinmotion.OceanwavesareusuallymodeledusingtheNavier-Stokesequations,whichdescribethemotionoffluidsundervariousconditions.However,solvingtheseequationsanalyticallyisoftenimpossibleduetotheircomplexity,s